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Finding the Fourth Proportional to 1,047.66, 1,570.80 and 586.12

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Solution

The fourth proportional to 1,047.66, 1,570.80 and 586.12 is: 878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.66 : 1,570.80 = 586.12 : x
  2. Step 2: Convert to fraction form
    1,047.66/1,570.80 = 586.12/x
  3. Step 3: Cross multiply
    1,047.66x = 1,570.80 × 586.12
  4. Step 4: Simplify right side
    1,047.66x = 920,677.30
  5. Step 5: Solve for x
    x = 920,677.30/1,047.66
  6. Step 6: Final answer
    x = 878.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.